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Noise-induced enhancement of chemical reactions in nonlinear flows

Chaos 12, 417 (2002); doi:10.1063/1.1476948

Published 20 May 2002

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Zonghua Liu, Ying-Cheng Lai, and Juan M. Lopez
Department of Mathematics and Center for Systems Science and Engineering Research, Arizona State University, Tempe, Arizona 85287
Motivated by the problem of ozone production in atmospheres of urban areas, we consider chemical reactions of the general type: A+B-->2C, in idealized two-dimensional nonlinear flows that can generate Lagrangian chaos. Our aims differ from those in the existing work in that we address the role of transient chaos versus sustained chaos and, more importantly, we investigate the influence of noise. We find that noise can significantly enhance the chemical reaction in a resonancelike manner where the product of the reaction becomes maximum at some optimal noise level. We also argue that chaos may not be a necessary condition for the observed resonances. A physical theory is formulated to understand the resonant behavior. ©2002 American Institute of Physics.
History: Received 31 October 2001; accepted 26 February 2002; published 20 May 2002
Permalink: http://link.aip.org/link/?CHAOEH/12/417/1
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KEYWORDS and PACS

Keywords
PACS
  • 47.70.Fw
    Fluid dynamics Reactive, radiative, or nonequilibrium flows Chemically reactive flows
  • 47.52.+j
    Fluid dynamics Chaos
  • 82.33.Tb
    Physical chemistry and chemical physics Reactions in various media Atmospheric chemistry
  • 05.45.Ac
    Statistical physics, thermodynamics, and nonlinear dynamical systems Nonlinear dynamics and nonlinear dynamical systems Low-dimensional chaos
  • 94.10.Fa
    Aeronomy and magnetospheric physics Physics of the neutral atmosphere Atmospheric composition (atomic or molecular), chemical reactions and processes
  • YEAR: 2002

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PUBLICATION DATA

ISSN:
1054-1500 (print)   1089-7682 (online)
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